The function f(x)=5000(0.98)^0.3x represents the number of white-blood cells, per cubic millimeter, in a patient x days after beginning treatment for a virus. what is the average decrease per day in white-blood cells per cubic millimeter between days 1 and 5? a.) −29.75 mm^3/day .75 mm^3/day .47 mm^3/day .08 mm^3/day

The answer is A.)
f(x)=5000(0.98)^0.3x   What is x=1 and x=5?

f(1)=5000(0.98)^0.3(1)       <<Plug in 1
 = 5000(0.98)^0.3              <<Multiply 1
 =5000(0.993957517)       <<mulitply 0.3 with 0.98
 =4969.78759                    <<mulitply the answer to ^^ with 5000
 =4970                               <<Round

f(5)=5000(0.98)^0.3(5)      <<plug in 5
 = 5000(0.98)^1.5              <<Mulitply 5
 =5000(0.970150504)      <<multiply 1.5 with 0.98
 =4850.75252                   <<muliply the answer to ^^ with 5000
 = 4851                              << round

Next, you do (y2 - y1)/(x2-x1)
 
(4970 - 4851)/(1 - 5)          <<plug in numbers (btw you get the 1 and 5 from                                                                                    plugging them in in the beginning)
=(119)/(4)                               <<Subtract 
 = -29.75                              << divide 

I hope this helps!!

In all honesty, there really is no “work” per say to show. mainly it’s just using the process of elimination. the question is asking which domain(s) would be the most appropriate for the function c(n). n is the number of observed vehicles so right away, 1, 2, and 3 can be eliminated.why? 1, 2 start in the negatives and therefore it is impossible to observe negative cars. so, #4 would be the best answer to the given problem.